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IE 3265 R. Lindeke, Ph. D. Quality Management in POM – Part 2.

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Presentation on theme: "IE 3265 R. Lindeke, Ph. D. Quality Management in POM – Part 2."— Presentation transcript:

1 IE 3265 R. Lindeke, Ph. D. Quality Management in POM – Part 2

2 Topics Managing a Quality System – Total Quality Management (TQM) Achieving Quality in a System – Look early and often – 6 Sigma – an approach & a technique – Make it a part of the process The Customers Voice in Total Quality Management – QFD and the House of Quality Quality Engineering –Loss Function –Quality Studies –Experimental Approaches T.M.; FMEA; Shainin

3 Taguchi’s Loss Function Taguchi defines Quality Level of a product as the Total Loss incurred by society due to failure of a product to perform as desired when it deviates from the delivered target performance levels. This includes costs associated with poor performance, operating costs (which changes as a product ages) and any added expenses due to harmful side effects of the product in use

4 Exploring the Taguchi Method Considering the Loss Function, it is quantifiable –Larger is Better: –Smaller is Better: –Nominal is Best:

5 Considering the Cost of Loss k in the L(y) equation is found from:

6 Loss Function Example: (nominal is best) We can define a processes average loss as: s is process (product) Standard Deviation y bar is process (product) mean

7 Example cont. A 0 is $2 (a very low number of this type!) found by estimating that the loss is 10% of the $20 product cost when a part is exactly 8.55 or 8.45 units Process specification is: units Historically: y bar = and s = 0.016

8 Example Cont. Average Loss: If we make 250,000 units a year Annual Loss is $64,000

9 Fixing it Shift the Mean to nominal Reduce variation (s = 0.01) Fix Both!

10 Taguchi Methods Help companies to perform the Quality Fix! –Quality problems are due to Noises in the product or process system –Noise is any undesirable effect that increases variability Conduct extensive Problem Analyses Employ Inter-disciplinary Teams Perform Designed Experimental Analyses Evaluate Experiments using ANOVA and Signal- to noise techniques

11 Defining the Taguchi Approach – The Point Then Is To Produce Processes Or Products The Are ROBUST AGAINST NOISES Don’t spend the money to eliminate all noise, build designs (product and process) that can perform as desired – low variability – in the presence of noise! WE SAY: ROBUSTNESS = HIGH QUALITY

12 Defining the Taguchi Approach – Noise Factors Cause Functional Variation They Fall Into Three “Classes” –1. Outer Noise – Environmental Conditions –2. Inner Noise – Lifetime Deterioration –3. Between Product Noise – Piece To Piece Variation

13 Taguchi Method is Step-by- Step:


15 Defining the Taguchi Approach – SYSTEM DESIGN: All About Innovation – New Ideas, Techniques, Philosophies Application Of Science And Engineering Knowledge Includes Selection Of: –Materials –Processes –Tentative Parameter Values

16 Defining the Taguchi Approach – Parameter Design: Tests For Levels Of Parameter Values Selects "Best Levels" For Operating Parameters to be Least Sensitive to Noises Develops Processes Or Products That Are Robust A Key Step To Increasing Quality Without Increased Cost

17 Defining the Taguchi Approach – Tolerance Design: A "Last Resort" Improvement Step Identifies Parameters Having the greatest Influence On Output Variation Tightens Tolerances On These Parameters Typically Means Increases In Cost

18 Selecting Parameters for Study and Control Select The Quality Characteristic Define The Measurement Technique Ennumerate, Consider, And Select The Independent Variables And Interactions Brainstorming Shainin’s technique where they are determined by looking at the products FMEA – failure mode and effects analysis

19 Preliminary Steps in Improvement Studies To Adequately Address The Problem At Hand We Must: 1. Understand Its Relationship With The Goals We Are Trying To Achieve 2. Explore/Review Past Performance compare to desired Solutions 3. Prepare An 80/20 Or Pareto Chart Of These Past Events 4. Develop A "Process Control" Chart -- This Helps To Better See The Relationship between Potential Control And Noise Factors A Wise Person Can Say: A Problem Well Defined Is Already Nearly Solved!!

20 Going Down the Improvement Road Start By Generating The Problem Candidates List: –Brainstorm The Product Or Process Develop Cause And Effects (Ishikawa) Diagrams –Using Process Flow Charts To Stimulate Ideas –Develop Pareto Charts For Quality Problems

21 DEVELOPING A Cause-and-Effect Diagram: 1. Construct A Straight Horizontal Line (Right Facing) 2. Write Quality Characteristic At Right 3. Draw 45° Lines From Main Horizontal (4 Or 5) For Major Categories: Manpower, Materials, Machines, Methods And Environment 4. Add Possible Causes By Connecting Horizontal Lines To 45° "Main Cause" Rays 5. Add More Detailed Potential Causes Using Angled Rays To Horizontal Possible Cause Lines

22 Generic Fishbone C&E Diagram

23 Building the ‘Experiment’ Working From a Cause & Effect Diagram

24 Designing A Useful Experiment Taguchi methods use a cookbook approach!! Building Experiments for selected factors on the C&E Diagram Selection is from a discrete set of ‘Orthogonal Arrays’ Note: an orthogonal array (OA) is a special fractional factorial design that allows study of main factors and 2-way interactions

25 T.M. Summary Taguchi methods (TM) are product or process improvement techniques that use DOE methods for improvements A set of cookbook designs are available – and they can be modified to build a rich set of studies (beyond what we have seen in MP labs!) TM requires a commitment to complete studies and the discipline to continue in the face of setbacks (as do all quality improvement methods!)

26 Simplified DOE Shainin Tools – these are a series of steps to logically identify the root causes of variation These tools are simple to implement, statistically powerful and practical Initial Step is to sample product (over time) and examine the sample lots for variability to identify causative factors – this step is called the multi-vari chart approach Shainin refers to root cause factors as the “Red X”, “Pink X”, and “Pink-Pink X” causes

27 Shainin’s ‘Experimental Approaches’ to Quality Variability Control:

28 Shainin Ideas – exploring further Red X – the primary cause of variation Pink X – the secondary causes of variation Pink-Pink X significant but minor causes of variation (a factor that still must be controlled!) Any other factors should be substituted by lower cost solutions (wider tolerance, cheaper material, etc.)

29 Basis of Shainin’s Quality Improvement Approaches As Shainin Said: “Don’t ask the engineers, they don’t know, ask the parts” Contrast with Brainstorming approach of Taguchi Method Multi-Vari is designed to identify the likely home of the Red X factors – not necessarily the factors themselves Shainin suggests that we look into three source of variation regimes: Positional Cyclical Temporal

30 Does the mean shift in time or between products or is the product (alone) showing the variability?

31 Positional Variations: These are variation within a given unit (of production) Like porosity in castings – or cracks Or across a unit with many parts – like a transmission, turbine or circuit board Could be variations by location in batch loading processes Cavity to cavity variation in plastic injection molding, etc. Various tele-marketers at a fund raiser Variation from machine-to-machine, person-to-person or plant-to-plant

32 Cyclical Variation Variation between consecutive units drawn from a process (consider calls on a software help line) Variation AMONG groups of units Batch-to Batch Variations Lot-to-lot variations

33 Temporal Variations Variations from hour-to-hour Variation shift-to-shift Variations from day-to-day Variation from week-to-week

34 Components Search – the prerequisites The technique is applicable (primarily) in ass’bly operations where good units and bad units are found Performance (output) must be measurable and repeatable Units must be capable of disassembly and reassembly without significant change in original performance There must be at least 2 assemblies or units – one good, one bad

35 The procedure: Select the good and bad unit Determine the quantitative parameter by which to measure the units Dissemble the good unit – reassemble and measure it again. Disassemble and reassemble then measure the bad units again. If the difference D between good and bad exceeds the d difference (within units) by 5:1, a significant and repeatable difference between good and bad units is established

36 Procedure (cont.) Based on engineering judgment, rank the likely component problems, within a unit, in descending order of perceived importance. Switch the top ranked component from the good unit to the bad unit or assembly with the corresponding component in the bad assembly going to the good assembly. Measure the 2 (reassembled) units. If there is no change: the good unit stays good bad stays bad, the top guessed component (A) is unimportant – go on to component B If there is a partial change in the two measurements A is not the only important variable. A could be a Pink X family. Go on to Component B If there is a complete reversal in outputs of the assemblies, A could be in the Red X family. There is no further need for components search.

37 Procedure (cont.) Regardless of which of the three outcomes above are observed, restore component A to the original units to assure original conditions are repeated. Then, repeat the previous 2 steps for the next most important components: B, C, D, etc. if each swap leads to ‘no’ or ‘partial’ change Ultimately, the Red X family will be ID’d (on complete reversal) or two or more Pink X or pale Pink X families if only partial reversals are observed

38 Procedure (cont.) With the important variables identified, a ‘capping run’ with the variables banded together as good or bad assemblies must be used to verify their importance Finally, a factorial matrix, using data generated during the search, is drawn to determine, quantitatively, main effects and interactive effects.

39 Paired Comparisons This is a technique like components search – but when products do not lend themselves to disassembly (perhaps it is a component in a component search!) Requires that there be several Good and Bad units that can be compared Requires that a suitable parameter can be identified to distinguish Good from Bad

40 Steps in Paired Comparison 1.Randomly select one “Good” and one “Bad” unit – call it pair one 2.Observe the differences between the 2 units – these can be visual, dimensional, electrical, mechanical, chemical, etc. Observe using appropriate means (eye, optical or electron microscopic, X-ray, Spectrographic, tests-to-failure, etc) 3.Select a 2 nd pair, observe and note as with pair 1. 4.Repeat with additional pairs until a pattern of repeatability is observed between “goods & bads”

41 Reviewing: The previous (three methods) are ones that followed directly from Shainin’s “talk to the animals (products)” approach In each, before we began actively specifying the DOE parameters, we collect as much information as we can from good or bad products As stated by one user: “The product solution was sought for over 18 months, we talked to engineers & designers; we talked to engineering managers, even product suppliers – all without a successful solution, but we never talked to the parts. With the component search technique we identified the problem in just 3 days”

42 Taking the Next step: Variables Search The objective is to –Pinpoint the Red X, Pink X and one to three (more) critical interacting variables –Its possible that the ‘Red X’ is due to strong interactions between two or more variables –Finally we are still trying to separate the important variables from unimportant ones Variables search is a way to get statistically significant results without executing a large number of experimental runs (achieving knowledge at reduced cost) It has been shown the this binary comparison technique (on 5 to 15 variables) can be successful in 20, 22, 24 or 26 runs vs. 256, 512, 1024, etc. runs using traditional DOE

43 Variables Search is a 2 stage process: 1.List the important input variables as chosen by engineering judgment (in descending order of ability to influence output) 2.Assign 2 levels to each factor – a best and worst level (within reasonable bounds) 3.Run 2 experiments, one with all factors at best levels, the second with all factors at worst levels. Run two replications sets 4.Apply the D:d  5:1 rule (as above) 5.If the 5:1 ratio is exceeded, the Red X is captured in the factor set tested. STAGE 1:

44 Stage 1 (cont): 6.If the ratio is less than 5:1, the right factors are not chosen or 1 or more factors have been reversed between “best” & “worst” levels. Disappointing, but not fatal! a.If the wrong factors were chosen – in opinion of design team – decide on new factors and rerun Stage 1 b.If the team believes it has the correct factors included, but some have reversed levels, run B vs. C tests on each suspicious factor to see if factor levels are in fact reversed c.One could try the selected factors (4 at a time) using full factorial experiments – could be prone to failure too if interacting factors are separated during testing!

45 Moving on to Stage 2: 1.Run an experiment with A W (a at worst level) and the rest of factors at best levels (R B ) a)If there is no change in best results in Stage 1 step 3, factor A is in fact unimportant b)If there is a partial change from best results – toward Worst results – A is not the only important factor. A could be Pink X c)If a complete reversal in Best to Worst results in Stage 1 step 3, A is the Red X 2.Run a second test with A B and R W a)If no change from Worst results in Stage 1 the top factor A is further confirmed as unimportant b)If there is a partial change in the worst results in Stage 1 – toward Best results – A is further confirmed as a possible Pink X factor c)If a complete reversal – Best results in Stage 1 are approximated, A is reconfirmed as the Red X

46 Continuing Stage 2: 3.Perform the same component search swap of step 1 & 2 for the rest of the factors to separate important from unimportant factors 4.If no single Red X factor, but two or three Pink X factors are found, perform a capping or validation experiment with the Pink X’s at the best levels (remaining factors at their worst levels). The results should approximate the best results of Step 3, Stage 1. 5.Run a second capping experiment with Pink’s at worst level, the rest at Best level – should approx. the worst results in Step 3, Stage 1.

47 Variables Search Example: Press Brake Operation A press brake was showing high variability with poor C PK The Press Brake was viewed as a “Black Magic” operation – the worked sometimes then went bad ‘for no reason’ Causes of the operational variability were hotly debated, Issues included: –Raw Sheet metal Thickness Hardness –Press Brake Factors (some which are difficult or impossible to control) The company investigated new P. Brakes but observed no realistic and reliable improvements –Even high cost automated brakes sometimes produced poor results!

48 A Variables Search was Performed Goal was to consistently achieve a .005” tolerance (or closer!) 6 Factors were chosen: –A. Punch/Die Alignment – B: ‘Aligned’, W: ‘not Specially Aligned’ –B. Metal Thickness – B: ‘Thick’, W: ‘Thin’ –C. Metal Hardness – B: ‘Hard’, W: ‘Soft’ –D. Metal Bow – B: ‘Flat’, W: ‘Bowed’ –E. Ram Storage – B: ‘Coin Form’, W: ‘Air Form’ –F. Holding Material – B: ‘Level’, W: ‘Angle’ Results reported in “Process Widths” which is twice tolerance, in 0.001” units

49 Results: STAGE 1Process Width (x.001) All BestAll Worst Initial447 Rep 1461 D = 50; d = 7 D:d 7:1 (> 5:1) so a significant repeatable difference; Red X (or Pink X’s) captured as a factor

50 Continuing to Stage 2 TestComb.ResultsConclusion 1AWRBAWRB 3 A. not Important 2ABRWABRW 102 3BWRBBWRB 5 B. Not Important 4BBRWBBRW 47 5CWRBCWRB 7 C. Not Important 6CBRWCBRW 72 7DWRBDWRB 23 Pink X: Interaction w/ other factor(s) 8DBRWDBRW 30 9EWRBEWRB 7 ??? 10EBRWEBRW 20 11FWRBFWRB 73 Prob. Red X + Interaction 12FBRWFBRW 18 Cap RunD W F W R B 70 Complete Reversal Effected Cap RunD B F B R W 4

51 Factorial Analysis: D & F D BestD Worst F Best4, 4, 3, 5, 7, 7, 4 Avg: , 18 Avg: 20.5 Row Sum: 25.4 F Worst73, 20 Avg: , 102, 61 47, 72, 70, 20; Avg: 57.8 Row Sum: Diagonal Sum: 72 Column Sum: 56.4 Column Sum: 78.3 Diagonal Sum: 62.7

52 Factorial Analysis:

53 Factor G is Red X: It has a 41.9 main effect on the process spread Factor D is a Pink X with 10.9 main effect on process spread Their interaction is minor with a contribution of 4.9 to process spread With D & F controlled, using a holding fixture to assure level and reduction in bowing (but with hardness and thickness tolerances open up leading to reduced raw metal costs) the process spread was reduced to 0.004” ( .002) much better than the original target of .005” with an observed C PK of 2.5!

54 Introduction to Failure Mode and Effects Analysis (FMEA) Tool used to systematically evaluate a product, process, or system Developed in 1950’s by US Navy, for use with flight control systems Today it’s used in several industries, in many applications –products –processes –equipment –software –service Conducted on new or existing products/processes Presentation focuses on FMEA for existing process

55 Benefits of FMEA Collects all potential issues into one document –Can serve as troubleshooting guide –Is valuable resource for new employees at the process Provides analytical assessment of process risk –Prioritizes potential problems at process –Total process risk can be summarized, and compared to other processes to better allocate resources Serves as baseline for future improvement at process –Actions resulting in improvements can be documented –Personnel responsible for improvements can gain recognition –Controls can be effectively implemented –Example: Horizontal Bond Process: FM’s improved by 40%; causes improved by 37%. Overall risk in half in about 3 months.

56 FMEA Development Assemble a team of people familiar with process Brainstorm process/product related defects (Failure Modes) List Effects, Causes, and Current Controls for each failure mode Assign ratings (1-10) for Severity, Occurrence, and Detection for each failure mode –1 is best, 10 is worst Determine Risk Priority Number (RPN) for each failure mode –Calculated as Severity x Occurrence x Detection

57 Typical FMEA Evaluation Sheet

58 Capturing The Essence of FMEA The FMEA is a tool to systematically evaluate a process or product Use this methodology to: –Prioritize which processes/ parameters/ characteristics to work on ( Plan ) –Take action to improve process ( Do ) –Implement controls to verify/validate process ( Check ) –Update FMEA scores, and start focusing on next highest FM or cause ( Act  Plan )

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